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21022323120 = 2433574313099
BaseRepresentation
bin10011100101000001…
…110011000110110000
32000021002012122221000
4103211001303012300
5321023203314440
613354005202000
71342644540531
oct234501630660
960232178830
1021022323120
118a0860a567
1240a8400300
131ca042c766
141035da4688
158308ab730
hex4e50731b0

21022323120 has 160 divisors (see below), whose sum is σ = 72513216000. Its totient is φ = 5597980416.

The previous prime is 21022323103. The next prime is 21022323151. The reversal of 21022323120 is 2132322012.

21022323120 is a `hidden beast` number, since 210 + 223 + 231 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21022323093 and 21022323102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1598331 + ... + 1611429.

It is an arithmetic number, because the mean of its divisors is an integer number (453207600).

Almost surely, 221022323120 is an apocalyptic number.

21022323120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21022323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36256608000).

21022323120 is an abundant number, since it is smaller than the sum of its proper divisors (51490892880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21022323120 is a wasteful number, since it uses less digits than its factorization.

21022323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13864 (or 13852 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21022323120 its reverse (2132322012), we get a palindrome (23154645132).

The spelling of 21022323120 in words is "twenty-one billion, twenty-two million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 743 1080 1486 2160 2229 2972 3715 4458 5944 6687 7430 8916 11145 11888 13099 13374 14860 17832 20061 22290 26198 26748 29720 33435 35664 39297 40122 44580 52396 53496 59440 65495 66870 78594 80244 89160 100305 104792 106992 117891 130990 133740 157188 160488 178320 196485 200610 209584 235782 261980 267480 314376 320976 353673 392970 401220 471564 523960 534960 589455 628752 707346 785940 802440 943128 1047920 1178910 1414692 1571880 1604880 1768365 1886256 2357820 2829384 3143760 3536730 4715640 5658768 7073460 9431280 9732557 14146920 19465114 28293840 29197671 38930228 48662785 58395342 77860456 87593013 97325570 116790684 145988355 155720912 175186026 194651140 233581368 262779039 291976710 350372052 389302280 437965065 467162736 525558078 583953420 700744104 778604560 875930130 1051116156 1167906840 1313895195 1401488208 1751860260 2102232312 2335813680 2627790390 3503720520 4204464624 5255580780 7007441040 10511161560 21022323120